Fluctuation and dissipation within a deformed holographic model with backreaction

In this work we study the fluctuation and dissipation of a string attached to a brane in a deformed and backreacted AdS-Schwarzschild spacetime. This space is a solution of Einstein-dilaton equations and contains a conformal exponential factor exp⁡(k/r2) in the metric. We consider the backreaction c...

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Bibliographic Details
Published in:Physics letters. B 2021-04, Vol.815, p.136140, Article 136140
Main Authors: Caldeira, Nathan G., Capossoli, Eduardo Folco, Zarro, Carlos A.D., Boschi-Filho, Henrique
Format: Article
Language:English
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Summary:In this work we study the fluctuation and dissipation of a string attached to a brane in a deformed and backreacted AdS-Schwarzschild spacetime. This space is a solution of Einstein-dilaton equations and contains a conformal exponential factor exp⁡(k/r2) in the metric. We consider the backreaction contributions coming only from the exponential warp factor on the AdS-Schwarzschild black hole, where the string and brane are in the probe approximation. Within this Lorentz invariant holographic model we have computed the admittance, the diffusion coefficient, the two-point functions and the regularized mean square displacement sreg2. From this quantity we obtain the diffuse and ballistic regimes characteristic of the Brownian motion. From the two-point functions and the admittance, we also have checked the well know fluctuation-dissipation theorem in this set up.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2021.136140